Question
Roads 1, 2 and 3 are the only possible escape routes from a prison. Prison records show that of prisoners who try to escape, 30%
Roads 1, 2 and 3 are the only possible escape routes from a prison. Prison records show that of prisoners who try to escape, 30% use road 1, 50% use road 2 and 20% use road 3. The records also show that 65% of those who try to escape via road 1, 80% of those who try to escape via road 2 and 92% of those who try to escape via road 3 are caught and returned to prison.
(i) If a prisoner tried to escape and was caught, what is the probability he used road 1?
(ii) If a prisoner managed to escape and avoid getting caught, calculate the probability that he used road 2.
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